Physicochemical analysis results for alloys in the Al-Ti-Pt system at 0-50 at.% Pt that were cast and annealed at subsolidus temperatures are used to construct for the first time vertical sections at 7, 25, and 35 +/- 1 at. Pt of this system taking into account the constitution of its melting diagram. The congruent crystallization of tau(3), tau(4), and tau(8) compounds and incongruent crystallization of tau(2) and tau(5) compounds are confirmed. Changes from incongruent to congruent crystallization of the solid solutions based on binary Al3Pt2, Al2Pt, and TiAl phases in transition to the ternary system are shown.